Groupprops, The Group Properties Wiki (pre-alpha)
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Glauberman correspondence
From Groupprops
Definition
Suppose S is a finite solvable group acting on a finite group G. Assume that the orders of S and G are relatively prime. Then, the Glauberman correspondence is a natural bijection between the S-invariant irreducible linear characters of G, and the S-invariant irreducible linear characters of CG(S) (the fixed points in G under the S-action).
